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Finding the Fourth Proportional to 183,807.80, 253,652.81 and 103,229.54

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Solution

The fourth proportional to 183,807.80, 253,652.81 and 103,229.54 is: 142,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,807.80 : 253,652.81 = 103,229.54 : x
  2. Step 2: Convert to fraction form
    183,807.80/253,652.81 = 103,229.54/x
  3. Step 3: Cross multiply
    183,807.80x = 253,652.81 × 103,229.54
  4. Step 4: Simplify right side
    183,807.80x = 26,184,461,111.60
  5. Step 5: Solve for x
    x = 26,184,461,111.60/183,807.80
  6. Step 6: Final answer
    x = 142,455.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.